CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-disabled vector-feature-custom-font-size-clientpref--excluded vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-not-available" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>Category:Order theory - Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-disabled vector-feature-custom-font-size-clientpref--excluded vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-not-available";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"27b04f2c-7c5f-48f9-8674-05e7b529dbd4","wgCanonicalNamespace":"Category","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":14,"wgPageName":"Category:Order_theory","wgTitle":"Order theory","wgCurRevisionId":952551364,"wgRevisionId":952551364,"wgArticleId":721806,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Commons category link is on Wikidata","Template Category TOC via Automatic category TOC on category with 101–200 pages","Automatic category TOC generates standard Category TOC","Fields of mathematics","Ordering","Comparison (mathematical)"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Category:Order_theory","wgRelevantArticleId":721806,"wgIsProbablyEditable":true, "wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":300,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q7452041","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics": true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","mediawiki.action.styles":"ready","ext.categoryTree.styles":"ready","mediawiki.helplink":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.tmh.player.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.categoryTree","site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.switcher","ext.tmh.player","ext.urlShortener.toolbar","ext.centralauth.centralautologin", "mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","wikibase.client.vector-2022","ext.checkUser.clientHints","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.categoryTree.styles%7Cext.tmh.player.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cmediawiki.action.styles%7Cmediawiki.helplink%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Category:Order theory - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//en.m.wikipedia.org/wiki/Category:Order_theory"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=Category:Order_theory&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/Category:Order_theory"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom feed" href="/w/index.php?title=Special:RecentChanges&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-14 ns-subject mw-editable page-Category_Order_theory rootpage-Category_Order_theory skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Main menu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Main menu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Main menu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">hide</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z"><span>Main page</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Contents" title="Guides to browsing Wikipedia"><span>Contents</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Current_events" title="Articles related to current events"><span>Current events</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Visit a randomly selected article [x]" accesskey="x"><span>Random article</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:About" title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us" title="How to contact Wikipedia"><span>Contact us</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> Contribute </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:Contents" title="Guidance on how to use and edit Wikipedia"><span>Help</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Help:Introduction" title="Learn how to edit Wikipedia"><span>Learn to edit</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Community_portal" title="The hub for editors"><span>Community portal</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="A list of recent changes to Wikipedia [r]" accesskey="r"><span>Recent changes</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_upload_wizard" title="Add images or other media for use on Wikipedia"><span>Upload file</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Main_Page" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="The Free Encyclopedia" src="/static/images/mobile/copyright/wikipedia-tagline-en.svg" width="117" height="13" style="width: 7.3125em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:Search" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Search Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Search</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en" class=""><span>Donate</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&returnto=Category%3AOrder+theory" title="You are encouraged to create an account and log in; however, it is not mandatory" class=""><span>Create account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&returnto=Category%3AOrder+theory" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o" class=""><span>Log in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Log in and more options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personal tools" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personal tools</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en"><span>Donate</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&returnto=Category%3AOrder+theory" title="You are encouraged to create an account and log in; however, it is not mandatory"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Create account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=Category%3AOrder+theory" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/Help:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y"><span>Contributions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n"><span>Talk</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">Category</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">Order theory</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 41 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-41" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">41 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D8%B5%D9%86%D9%8A%D9%81:%D9%86%D8%B8%D8%B1%D9%8A%D8%A9_%D8%A7%D9%84%D8%AA%D8%B1%D8%AA%D9%8A%D8%A8" title="تصنيف:نظرية الترتيب – Arabic" lang="ar" hreflang="ar" data-title="تصنيف:نظرية الترتيب" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B7%E0%A6%AF%E0%A6%BC%E0%A6%B6%E0%A7%8D%E0%A6%B0%E0%A7%87%E0%A6%A3%E0%A7%80:%E0%A6%95%E0%A7%8D%E0%A6%B0%E0%A6%AE_%E0%A6%A4%E0%A6%A4%E0%A7%8D%E0%A6%A4%E0%A7%8D%E0%A6%AC" title="বিষয়শ্রেণী:ক্রম তত্ত্ব – Bangla" lang="bn" hreflang="bn" data-title="বিষয়শ্রেণী:ক্রম তত্ত্ব" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D1%8D%D0%B3%D0%BE%D1%80%D1%8B%D1%8F:%D0%A2%D1%8D%D0%BE%D1%80%D1%8B%D1%8F_%D0%BF%D0%B0%D1%80%D0%B0%D0%B4%D0%BA%D0%B0%D1%9E" title="Катэгорыя:Тэорыя парадкаў – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Катэгорыя:Тэорыя парадкаў" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kategorija:Teorija_redova" title="Kategorija:Teorija redova – Bosnian" lang="bs" hreflang="bs" data-title="Kategorija:Teorija redova" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Categoria:Teoria_de_l%27ordre" title="Categoria:Teoria de l'ordre – Catalan" lang="ca" hreflang="ca" data-title="Categoria:Teoria de l'ordre" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8:%D0%99%C4%95%D1%80%D0%BA%D0%B5%D1%81%D0%B5%D0%BD_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D0%B9%C4%95" title="Категори:Йĕркесен теорийĕ – Chuvash" lang="cv" hreflang="cv" data-title="Категори:Йĕркесен теорийĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kategorie:Teorie_uspo%C5%99%C3%A1d%C3%A1n%C3%AD" title="Kategorie:Teorie uspořádání – Czech" lang="cs" hreflang="cs" data-title="Kategorie:Teorie uspořádání" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Kategori:Ordningsteori" title="Kategori:Ordningsteori – Danish" lang="da" hreflang="da" data-title="Kategori:Ordningsteori" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Kategorie:Ordnungstheorie" title="Kategorie:Ordnungstheorie – German" lang="de" hreflang="de" data-title="Kategorie:Ordnungstheorie" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CE%B1%CF%84%CE%B7%CE%B3%CE%BF%CF%81%CE%AF%CE%B1:%CE%98%CE%B5%CF%89%CF%81%CE%AF%CE%B1_%CE%B4%CE%B9%CE%AC%CF%84%CE%B1%CE%BE%CE%B7%CF%82" title="Κατηγορία:Θεωρία διάταξης – Greek" lang="el" hreflang="el" data-title="Κατηγορία:Θεωρία διάταξης" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Categor%C3%ADa:Teor%C3%ADa_del_orden" title="Categoría:Teoría del orden – Spanish" lang="es" hreflang="es" data-title="Categoría:Teoría del orden" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Kategorio:Ordoteorio" title="Kategorio:Ordoteorio – Esperanto" lang="eo" hreflang="eo" data-title="Kategorio:Ordoteorio" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kategoria:Ordenaren_teoria" title="Kategoria:Ordenaren teoria – Basque" lang="eu" hreflang="eu" data-title="Kategoria:Ordenaren teoria" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D8%AF%D9%87:%D9%86%D8%B8%D8%B1%DB%8C%D9%87_%D8%AA%D8%B1%D8%AA%DB%8C%D8%A8" title="رده:نظریه ترتیب – Persian" lang="fa" hreflang="fa" data-title="رده:نظریه ترتیب" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cat%C3%A9gorie:Th%C3%A9orie_des_ordres" title="Catégorie:Théorie des ordres – French" lang="fr" hreflang="fr" data-title="Catégorie:Théorie des ordres" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Categor%C3%ADa:Teor%C3%ADa_da_orde" title="Categoría:Teoría da orde – Galician" lang="gl" hreflang="gl" data-title="Categoría:Teoría da orde" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%84%EB%A5%98:%EC%88%9C%EC%84%9C%EB%A1%A0" title="분류:순서론 – Korean" lang="ko" hreflang="ko" data-title="분류:순서론" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80:%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%A3_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%82%E0%A4%A4" title="श्रेणी:अनुक्रमण सिद्धांत – Hindi" lang="hi" hreflang="hi" data-title="श्रेणी:अनुक्रमण सिद्धांत" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Kategorio:Rango-teorio" title="Kategorio:Rango-teorio – Ido" lang="io" hreflang="io" data-title="Kategorio:Rango-teorio" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Categoria:Teoria_degli_ordini" title="Categoria:Teoria degli ordini – Italian" lang="it" hreflang="it" data-title="Categoria:Teoria degli ordini" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Categoria:Theoria_ordinis" title="Categoria:Theoria ordinis – Latin" lang="la" hreflang="la" data-title="Categoria:Theoria ordinis" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kateg%C3%B3ria:Rendez%C3%A9selm%C3%A9let" title="Kategória:Rendezéselmélet – Hungarian" lang="hu" hreflang="hu" data-title="Kategória:Rendezéselmélet" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BD%D0%B0_%D1%80%D0%B5%D0%B4%D0%BE%D0%B2%D0%B8%D1%82%D0%B5" title="Категорија:Теорија на редовите – Macedonian" lang="mk" hreflang="mk" data-title="Категорија:Теорија на редовите" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Categorie:Ordetheorie" title="Categorie:Ordetheorie – Dutch" lang="nl" hreflang="nl" data-title="Categorie:Ordetheorie" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/Category:%E9%A0%86%E5%BA%8F%E6%A7%8B%E9%80%A0" title="Category:順序構造 – Japanese" lang="ja" hreflang="ja" data-title="Category:順序構造" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kategori:Ordensteori" title="Kategori:Ordensteori – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Kategori:Ordensteori" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kategori:Ordensteori" title="Kategori:Ordensteori – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Kategori:Ordensteori" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Kategoria:Porz%C4%85dki" title="Kategoria:Porządki – Polish" lang="pl" hreflang="pl" data-title="Kategoria:Porządki" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Categoria:Teoria_da_ordem" title="Categoria:Teoria da ordem – Portuguese" lang="pt" hreflang="pt" data-title="Categoria:Teoria da ordem" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Categorie:Teoria_ordinii" title="Categorie:Teoria ordinii – Romanian" lang="ro" hreflang="ro" data-title="Categorie:Teoria ordinii" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BF%D0%BE%D1%80%D1%8F%D0%B4%D0%BA%D0%BE%D0%B2" title="Категория:Теория порядков – Russian" lang="ru" hreflang="ru" data-title="Категория:Теория порядков" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kateg%C3%B3ria:Te%C3%B3ria_usporiadania" title="Kategória:Teória usporiadania – Slovak" lang="sk" hreflang="sk" data-title="Kategória:Teória usporiadania" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kategorija:Teorija_urejenosti" title="Kategorija:Teorija urejenosti – Slovenian" lang="sl" hreflang="sl" data-title="Kategorija:Teorija urejenosti" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Kategori:Order_theory" title="Kategori:Order theory – Sundanese" lang="su" hreflang="su" data-title="Kategori:Order theory" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Luokka:J%C3%A4rjestysteoria" title="Luokka:Järjestysteoria – Finnish" lang="fi" hreflang="fi" data-title="Luokka:Järjestysteoria" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kategori:Ordningsteori" title="Kategori:Ordningsteori – Swedish" lang="sv" hreflang="sv" data-title="Kategori:Ordningsteori" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%95%E0%AF%81%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81:%E0%AE%B5%E0%AE%B0%E0%AE%BF%E0%AE%9A%E0%AF%88_%E0%AE%95%E0%AF%8B%E0%AE%9F%E0%AF%8D%E0%AE%AA%E0%AE%BE%E0%AE%9F%E0%AF%81" title="பகுப்பு:வரிசை கோட்பாடு – Tamil" lang="ta" hreflang="ta" data-title="பகுப்பு:வரிசை கோட்பாடு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kategori:S%C4%B1ra_teorisi" title="Kategori:Sıra teorisi – Turkish" lang="tr" hreflang="tr" data-title="Kategori:Sıra teorisi" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D1%96%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D1%96%D1%8F_%D0%BF%D0%BE%D1%80%D1%8F%D0%B4%D0%BA%D1%83" title="Категорія:Теорія порядку – Ukrainian" lang="uk" hreflang="uk" data-title="Категорія:Теорія порядку" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Th%E1%BB%83_lo%E1%BA%A1i:L%C3%BD_thuy%E1%BA%BFt_th%E1%BB%A9_t%E1%BB%B1" title="Thể loại:Lý thuyết thứ tự – Vietnamese" lang="vi" hreflang="vi" data-title="Thể loại:Lý thuyết thứ tự" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Category:%E5%BA%8F%E7%90%86%E8%AE%BA" title="Category:序理论 – Chinese" lang="zh" hreflang="zh" data-title="Category:序理论" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q7452041#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-category" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Category:Order_theory" title="View the category page [c]" accesskey="c"><span>Category</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Category_talk:Order_theory" rel="discussion" title="Discuss improvements to the content page [t]" accesskey="t"><span>Talk</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Views"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Category:Order_theory"><span>Read</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Category:Order_theory&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Category:Order_theory&action=history" title="Past revisions of this page [h]" accesskey="h"><span>View history</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tools" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tools</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tools</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">hide</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Category:Order_theory"><span>Read</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Category:Order_theory&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Category:Order_theory&action=history"><span>View history</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Category:Order_theory" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Category:Order_theory" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q"><span>Special pages</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Category:Order_theory&oldid=952551364" title="Permanent link to this revision of this page"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Category:Order_theory&action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FCategory%3AOrder_theory"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FCategory%3AOrder_theory"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Print/export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Category%3AOrder_theory&action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Category:Order_theory&printable=yes" title="Printable version of this page [p]" accesskey="p"><span>Printable version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In other projects </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Order_theory" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q7452041" title="Structured data on this page hosted by Wikidata [g]" accesskey="g"><span>Wikidata item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-mw-helplink" class="mw-indicator"><a href="/wiki/Help:Category" target="_blank" class="mw-helplink"><span class="mw-helplink-icon"></span>Help</a></div> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">The main article for this <a href="/wiki/Help:Categories" title="Help:Categories">category</a> is <b><a href="/wiki/Order_theory" title="Order theory">Order theory</a></b>.</div> <p><b><a href="/wiki/Order_theory" title="Order theory">Order theory</a></b> is a branch of <a href="/wiki/Mathematics" title="Mathematics">mathematics</a> that studies various ways of formalizing the intuitive notion of a mathematical ordering. </p> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Order_theory" class="extiw" title="commons:Category:Order theory">Order theory</a></span>.</div></div> </div> <div style="display:block; margin-top: 1em; padding-right: 2em"><style data-mw-deduplicate="TemplateStyles:r1111373058">.mw-parser-output .toc-top-false-title{font-weight:bold;text-align:center}.mw-parser-output .toc-top .hlist ul{text-align:inherit}@media all and (min-width:720px){.mw-parser-output .toc-top{clear:left}.mw-parser-output .toc-top-left{float:left}.mw-parser-output .toc-top-right{float:right;clear:right}.mw-parser-output .toc-top-center{margin:auto;clear:none}}body.skin-vector-2022 .mw-parser-output .toc-top{padding:7px}body.skin-vector-2022 .mw-parser-output .toc-top #toc-title-text{border-bottom:0;margin-top:0;font-weight:bold;text-align:center}</style><div class="toc plainlinks toc-top toc-top-left" role="navigation" aria-labelledby="toc-title-text-template" id="toc"> <div class="toctitle"><h2 id="Contents" id="toc-title-text">Contents </h2></div> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"> <ul><li><a class="external text" href="https://en.wikipedia.org/wiki/Category:Order_theory">Top</a></li> <li><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=0">0–9</a></li> <li><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=A">A</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=B">B</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=C">C</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=D">D</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=E">E</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=F">F</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=G">G</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=H">H</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=I">I</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=J">J</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=K">K</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=L">L</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=M">M</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=N">N</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=O">O</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=P">P</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=Q">Q</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=R">R</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=S">S</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=T">T</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=U">U</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=V">V</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=W">W</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=X">X</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=Y">Y</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&from=Z">Z</a></li></ul> </div></div></div><div style="clear:both;" class=""></div>    </div><div class="mw-category-generated" lang="en" dir="ltr"><div id="mw-subcategories"> <h2>Subcategories</h2> <p>This category has the following 10 subcategories, out of 10 total. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3>C</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Closure_operators" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Closure_operators" title="Category:Closure operators">Closure operators</a></bdi> <span title="Contains 2 subcategories, 25 pages, and 0 files" dir="ltr">(2 C, 25 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>D</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Domain_theory" title="Category:Domain theory">Domain theory</a></bdi> <span title="Contains 0 subcategories, 6 pages, and 0 files" dir="ltr">(6 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>L</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Lattice_theory" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Lattice_theory" title="Category:Lattice theory">Lattice theory</a></bdi> <span title="Contains 5 subcategories, 48 pages, and 0 files" dir="ltr">(5 C, 48 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>O</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Optimization_of_ordered_sets" title="Category:Optimization of ordered sets">Optimization of ordered sets</a></bdi> <span title="Contains 0 subcategories, 3 pages, and 0 files" dir="ltr">(3 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Order_theory_journals" title="Category:Order theory journals">Order theory journals</a></bdi> <span title="Contains 0 subcategories, 1 page, and 0 files" dir="ltr">(1 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Ordered_algebraic_structures" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Ordered_algebraic_structures" title="Category:Ordered algebraic structures">Ordered algebraic structures</a></bdi> <span title="Contains 1 subcategory, 8 pages, and 0 files" dir="ltr">(1 C, 8 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Ordered_groups" title="Category:Ordered groups">Ordered groups</a></bdi> <span title="Contains 0 subcategories, 12 pages, and 0 files" dir="ltr">(12 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Ordinal_numbers" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Ordinal_numbers" title="Category:Ordinal numbers">Ordinal numbers</a></bdi> <span title="Contains 1 subcategory, 51 pages, and 0 files" dir="ltr">(1 C, 51 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>S</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Sorting_algorithms" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Sorting_algorithms" title="Category:Sorting algorithms">Sorting algorithms</a></bdi> <span title="Contains 5 subcategories, 48 pages, and 0 files" dir="ltr">(5 C, 48 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>W</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Wellfoundedness" title="Category:Wellfoundedness">Wellfoundedness</a></bdi> <span title="Contains 0 subcategories, 27 pages, and 0 files" dir="ltr">(27 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div></div></div> </div><div id="mw-pages"> <h2><span class="anchor" id="Pages_in_category"></span>Pages in category "Order theory"</h2> <p>The following 180 pages are in this category, out of 180 total. <a href="/wiki/Wikipedia:FAQ/Categorization#Why_might_a_category_list_not_be_up_to_date?" title="Wikipedia:FAQ/Categorization">This list may not reflect recent changes</a>. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3> </h3> <ul><li><a href="/wiki/Glossary_of_order_theory" title="Glossary of order theory">Glossary of order theory</a></li> <li><a href="/wiki/List_of_order_theory_topics" title="List of order theory topics">List of order theory topics</a></li> <li><a href="/wiki/Order_theory" title="Order theory">Order theory</a></li></ul></div><div class="mw-category-group"><h3>0–9</h3> <ul><li><a href="/wiki/1/3%E2%80%932/3_conjecture" title="1/3–2/3 conjecture">1/3–2/3 conjecture</a></li></ul></div><div class="mw-category-group"><h3>A</h3> <ul><li><a href="/wiki/Absolutely_and_completely_monotonic_functions_and_sequences" title="Absolutely and completely monotonic functions and sequences">Absolutely and completely monotonic functions and sequences</a></li> <li><a href="/wiki/Alexandrov_topology" title="Alexandrov topology">Alexandrov topology</a></li> <li><a href="/wiki/Amoeba_order" title="Amoeba order">Amoeba order</a></li> <li><a href="/wiki/Antichain" title="Antichain">Antichain</a></li> <li><a href="/wiki/Archimedean_ordered_vector_space" title="Archimedean ordered vector space">Archimedean ordered vector space</a></li> <li><a href="/wiki/Aronszajn_line" title="Aronszajn line">Aronszajn line</a></li> <li><a href="/wiki/Ascending_chain_condition" title="Ascending chain condition">Ascending chain condition</a></li> <li><a href="/wiki/Atom_(order_theory)" title="Atom (order theory)">Atom (order theory)</a></li></ul></div><div class="mw-category-group"><h3>B</h3> <ul><li><a href="/wiki/Banach_lattice" title="Banach lattice">Banach lattice</a></li> <li><a href="/wiki/Beki%C4%87%27s_theorem" title="Bekić's theorem">Bekić's theorem</a></li> <li><a href="/wiki/Better-quasi-ordering" title="Better-quasi-ordering">Better-quasi-ordering</a></li> <li><a href="/wiki/Betweenness" title="Betweenness">Betweenness</a></li> <li><a href="/wiki/Boolean_differential_calculus" title="Boolean differential calculus">Boolean differential calculus</a></li> <li><a href="/wiki/Boolean_prime_ideal_theorem" title="Boolean prime ideal theorem">Boolean prime ideal theorem</a></li> <li><a href="/wiki/Bound_graph" title="Bound graph">Bound graph</a></li> <li><a href="/wiki/Bounded_complete_poset" title="Bounded complete poset">Bounded complete poset</a></li> <li><a href="/wiki/Bounded_set" title="Bounded set">Bounded set</a></li> <li><a href="/wiki/Bourbaki%E2%80%93Witt_theorem" title="Bourbaki–Witt theorem">Bourbaki–Witt theorem</a></li> <li><a href="/wiki/Bruhat_order" title="Bruhat order">Bruhat order</a></li></ul></div><div class="mw-category-group"><h3>C</h3> <ul><li><a href="/wiki/Cantor%E2%80%93Bernstein_theorem" title="Cantor–Bernstein theorem">Cantor–Bernstein theorem</a></li> <li><a href="/wiki/Cantor%27s_isomorphism_theorem" title="Cantor's isomorphism theorem">Cantor's isomorphism theorem</a></li> <li><a href="/wiki/Causal_sets" title="Causal sets">Causal sets</a></li> <li><a href="/wiki/Centered_set" title="Centered set">Centered set</a></li> <li><a href="/wiki/Closure_operator" title="Closure operator">Closure operator</a></li> <li><a href="/wiki/Cofinal_(mathematics)" title="Cofinal (mathematics)">Cofinal (mathematics)</a></li> <li><a href="/wiki/Cofinality" title="Cofinality">Cofinality</a></li> <li><a href="/wiki/Compact_element" title="Compact element">Compact element</a></li> <li><a href="/wiki/Comparability" title="Comparability">Comparability</a></li> <li><a href="/wiki/Comparability_graph" title="Comparability graph">Comparability graph</a></li> <li><a href="/wiki/Complete_Boolean_algebra" title="Complete Boolean algebra">Complete Boolean algebra</a></li> <li><a href="/wiki/Complete_Heyting_algebra" title="Complete Heyting algebra">Complete Heyting algebra</a></li> <li><a href="/wiki/Complete_partial_order" title="Complete partial order">Complete partial order</a></li> <li><a href="/wiki/Completely_distributive_lattice" title="Completely distributive lattice">Completely distributive lattice</a></li> <li><a href="/wiki/Completeness_(order_theory)" title="Completeness (order theory)">Completeness (order theory)</a></li> <li><a href="/wiki/Continuous_poset" title="Continuous poset">Continuous poset</a></li> <li><a href="/wiki/Countable_chain_condition" title="Countable chain condition">Countable chain condition</a></li> <li><a href="/wiki/Countryman_line" title="Countryman line">Countryman line</a></li> <li><a href="/wiki/Covering_relation" title="Covering relation">Covering relation</a></li> <li><a href="/wiki/Critical_pair_(order_theory)" title="Critical pair (order theory)">Critical pair (order theory)</a></li> <li><a href="/wiki/Cyclic_order" title="Cyclic order">Cyclic order</a></li></ul></div><div class="mw-category-group"><h3>D</h3> <ul><li><a href="/wiki/Dedekind_cut" title="Dedekind cut">Dedekind cut</a></li> <li><a href="/wiki/Dedekind%E2%80%93MacNeille_completion" title="Dedekind–MacNeille completion">Dedekind–MacNeille completion</a></li> <li><a href="/wiki/Dehornoy_order" title="Dehornoy order">Dehornoy order</a></li> <li><a href="/wiki/Dense_order" title="Dense order">Dense order</a></li> <li><a href="/wiki/Deviation_of_a_poset" title="Deviation of a poset">Deviation of a poset</a></li> <li><a href="/wiki/Dilworth%27s_theorem" title="Dilworth's theorem">Dilworth's theorem</a></li> <li><a href="/wiki/Directed_set" title="Directed set">Directed set</a></li> <li><a href="/wiki/Disjunction_property_of_Wallman" title="Disjunction property of Wallman">Disjunction property of Wallman</a></li> <li><a href="/wiki/Distributive_polytope" title="Distributive polytope">Distributive polytope</a></li> <li><a href="/wiki/Distributivity_(order_theory)" title="Distributivity (order theory)">Distributivity (order theory)</a></li> <li><a href="/wiki/Duality_(order_theory)" title="Duality (order theory)">Duality (order theory)</a></li> <li><a href="/wiki/Dushnik%E2%80%93Miller_theorem" title="Dushnik–Miller theorem">Dushnik–Miller theorem</a></li></ul></div><div class="mw-category-group"><h3>E</h3> <ul><li><a href="/wiki/Embedding" title="Embedding">Embedding</a></li> <li><a href="/wiki/Encompassment_ordering" title="Encompassment ordering">Encompassment ordering</a></li> <li><a href="/wiki/Erd%C5%91s%E2%80%93Dushnik%E2%80%93Miller_theorem" title="Erdős–Dushnik–Miller theorem">Erdős–Dushnik–Miller theorem</a></li> <li><a href="/wiki/%CE%97_set" title="Η set">Η set</a></li></ul></div><div class="mw-category-group"><h3>F</h3> <ul><li><a href="/wiki/Facet_theory" title="Facet theory">Facet theory</a></li> <li><a href="/wiki/Fence_(mathematics)" title="Fence (mathematics)">Fence (mathematics)</a></li> <li><a href="/wiki/Filter_(mathematics)" title="Filter (mathematics)">Filter (mathematics)</a></li> <li><a href="/wiki/Filter_(set_theory)" title="Filter (set theory)">Filter (set theory)</a></li> <li><a href="/wiki/Fr%C3%A9chet_filter" title="Fréchet filter">Fréchet filter</a></li> <li><a href="/wiki/Friedman%27s_SSCG_function" title="Friedman's SSCG function">Friedman's SSCG function</a></li> <li><a href="/wiki/Frink_ideal" title="Frink ideal">Frink ideal</a></li></ul></div><div class="mw-category-group"><h3>G</h3> <ul><li><a href="/wiki/Galois_connection" title="Galois connection">Galois connection</a></li> <li><a href="/wiki/Graded_poset" title="Graded poset">Graded poset</a></li> <li><a href="/wiki/Greatest_element_and_least_element" title="Greatest element and least element">Greatest element and least element</a></li> <li><a href="/wiki/Greedoid" title="Greedoid">Greedoid</a></li></ul></div><div class="mw-category-group"><h3>H</h3> <ul><li><a href="/wiki/Hasse_diagram" title="Hasse diagram">Hasse diagram</a></li> <li><a href="/wiki/Hausdorff_gap" title="Hausdorff gap">Hausdorff gap</a></li> <li><a href="/wiki/Hausdorff_maximal_principle" title="Hausdorff maximal principle">Hausdorff maximal principle</a></li> <li><a href="/wiki/Higman%27s_lemma" title="Higman's lemma">Higman's lemma</a></li></ul></div><div class="mw-category-group"><h3>I</h3> <ul><li><a href="/wiki/Ideal_(order_theory)" title="Ideal (order theory)">Ideal (order theory)</a></li> <li><a href="/wiki/Incidence_algebra" title="Incidence algebra">Incidence algebra</a></li> <li><a href="/wiki/Incidence_poset" title="Incidence poset">Incidence poset</a></li> <li><a href="/wiki/Inclusion_order" title="Inclusion order">Inclusion order</a></li> <li><a href="/wiki/Infimum_and_supremum" title="Infimum and supremum">Infimum and supremum</a></li> <li><span class="redirect-in-category"><a href="/wiki/Infinite_descending_chain" class="mw-redirect" title="Infinite descending chain">Infinite descending chain</a></span></li> <li><a href="/wiki/Infinite_divisibility" title="Infinite divisibility">Infinite divisibility</a></li> <li><a href="/wiki/Interval_(mathematics)" title="Interval (mathematics)">Interval (mathematics)</a></li> <li><a href="/wiki/Interval_order" title="Interval order">Interval order</a></li> <li><a href="/wiki/Introduction_to_Lattices_and_Order" title="Introduction to Lattices and Order">Introduction to Lattices and Order</a></li> <li><a href="/wiki/Inversion_(discrete_mathematics)" title="Inversion (discrete mathematics)">Inversion (discrete mathematics)</a></li></ul></div><div class="mw-category-group"><h3>J</h3> <ul><li><a href="/wiki/Join_and_meet" title="Join and meet">Join and meet</a></li></ul></div><div class="mw-category-group"><h3>K</h3> <ul><li><span class="redirect-in-category"><a href="/wiki/Kernel_operator" class="mw-redirect" title="Kernel operator">Kernel operator</a></span></li> <li><a href="/wiki/Kleene_fixed-point_theorem" title="Kleene fixed-point theorem">Kleene fixed-point theorem</a></li> <li><a href="/wiki/Kleene%E2%80%93Brouwer_order" title="Kleene–Brouwer order">Kleene–Brouwer order</a></li> <li><a href="/wiki/Knaster%E2%80%93Tarski_theorem" title="Knaster–Tarski theorem">Knaster–Tarski theorem</a></li> <li><a href="/wiki/Knaster%27s_condition" title="Knaster's condition">Knaster's condition</a></li> <li><a href="/wiki/Kruskal%27s_tree_theorem" title="Kruskal's tree theorem">Kruskal's tree theorem</a></li></ul></div><div class="mw-category-group"><h3>L</h3> <ul><li><a href="/wiki/Laver%27s_theorem" title="Laver's theorem">Laver's theorem</a></li> <li><a href="/wiki/Law_of_trichotomy" title="Law of trichotomy">Law of trichotomy</a></li> <li><a href="/wiki/Lawson_topology" title="Lawson topology">Lawson topology</a></li> <li><a href="/wiki/Least_fixed_point" title="Least fixed point">Least fixed point</a></li> <li><a href="/wiki/Least-upper-bound_property" title="Least-upper-bound property">Least-upper-bound property</a></li> <li><a href="/wiki/Lexicographic_order" title="Lexicographic order">Lexicographic order</a></li> <li><a href="/wiki/Limit-preserving_function_(order_theory)" title="Limit-preserving function (order theory)">Limit-preserving function (order theory)</a></li> <li><a href="/wiki/Linear_continuum" title="Linear continuum">Linear continuum</a></li> <li><a href="/wiki/Linear_extension" title="Linear extension">Linear extension</a></li> <li><a href="/wiki/Linked_set" title="Linked set">Linked set</a></li> <li><a href="/wiki/Locally_finite_poset" title="Locally finite poset">Locally finite poset</a></li> <li><a href="/wiki/Lubell%E2%80%93Yamamoto%E2%80%93Meshalkin_inequality" title="Lubell–Yamamoto–Meshalkin inequality">Lubell–Yamamoto–Meshalkin inequality</a></li></ul></div><div class="mw-category-group"><h3>M</h3> <ul><li><a href="/wiki/Majorization" title="Majorization">Majorization</a></li> <li><a href="/wiki/Maximal_and_minimal_elements" title="Maximal and minimal elements">Maximal and minimal elements</a></li> <li><a href="/wiki/Mirsky%27s_theorem" title="Mirsky's theorem">Mirsky's theorem</a></li> <li><a href="/wiki/M%C3%B6bius_inversion_formula" title="Möbius inversion formula">Möbius inversion formula</a></li> <li><a href="/wiki/Monomial_order" title="Monomial order">Monomial order</a></li> <li><a href="/wiki/Monotonic_function" title="Monotonic function">Monotonic function</a></li> <li><a href="/wiki/Multitree" title="Multitree">Multitree</a></li></ul></div><div class="mw-category-group"><h3>N</h3> <ul><li><a href="/wiki/Nucleus_(order_theory)" title="Nucleus (order theory)">Nucleus (order theory)</a></li></ul></div><div class="mw-category-group"><h3>O</h3> <ul><li><a href="/wiki/Order_(journal)" title="Order (journal)">Order (journal)</a></li> <li><a href="/wiki/Order_convergence" title="Order convergence">Order convergence</a></li> <li><a href="/wiki/Order_dimension" title="Order dimension">Order dimension</a></li> <li><a href="/wiki/Order_embedding" title="Order embedding">Order embedding</a></li> <li><a href="/wiki/Order_isomorphism" title="Order isomorphism">Order isomorphism</a></li> <li><a href="/wiki/Order_polynomial" title="Order polynomial">Order polynomial</a></li> <li><a href="/wiki/Order_polytope" title="Order polytope">Order polytope</a></li> <li><a href="/wiki/List_of_order_structures_in_mathematics" title="List of order structures in mathematics">List of order structures in mathematics</a></li> <li><a href="/wiki/Order_topology" title="Order topology">Order topology</a></li> <li><a href="/wiki/Order_topology_(functional_analysis)" title="Order topology (functional analysis)">Order topology (functional analysis)</a></li> <li><a href="/wiki/Ordered_geometry" title="Ordered geometry">Ordered geometry</a></li> <li><a href="/wiki/Ordered_pair" title="Ordered pair">Ordered pair</a></li> <li><a href="/wiki/Ordered_topological_vector_space" title="Ordered topological vector space">Ordered topological vector space</a></li> <li><span class="redirect-in-category"><a href="/wiki/Ordinal_sum" class="mw-redirect" title="Ordinal sum">Ordinal sum</a></span></li></ul></div><div class="mw-category-group"><h3>P</h3> <ul><li><a href="/wiki/Pantachy" title="Pantachy">Pantachy</a></li> <li><a href="/wiki/Partial_cyclic_order" title="Partial cyclic order">Partial cyclic order</a></li> <li><a href="/wiki/Partially_ordered_group" title="Partially ordered group">Partially ordered group</a></li> <li><a href="/wiki/Partially_ordered_set" title="Partially ordered set">Partially ordered set</a></li> <li><a href="/wiki/Pasch%27s_theorem" title="Pasch's theorem">Pasch's theorem</a></li> <li><a href="/wiki/Path_ordering_(term_rewriting)" title="Path ordering (term rewriting)">Path ordering (term rewriting)</a></li> <li><span class="redirect-in-category"><a href="/wiki/Peck_poset" class="mw-redirect" title="Peck poset">Peck poset</a></span></li> <li><span class="redirect-in-category"><a href="/wiki/Pointwise_order" class="mw-redirect" title="Pointwise order">Pointwise order</a></span></li> <li><a href="/wiki/Poset_topology" title="Poset topology">Poset topology</a></li> <li><a href="/wiki/Positive_linear_operator" title="Positive linear operator">Positive linear operator</a></li> <li><a href="/wiki/Prefix_order" title="Prefix order">Prefix order</a></li> <li><a href="/wiki/Preorder" title="Preorder">Preorder</a></li> <li><a href="/wiki/Preordered_class" title="Preordered class">Preordered class</a></li> <li><a href="/wiki/Prewellordering" title="Prewellordering">Prewellordering</a></li> <li><a href="/wiki/Prime_(order_theory)" title="Prime (order theory)">Prime (order theory)</a></li> <li><a href="/wiki/Product_order" title="Product order">Product order</a></li> <li><span class="redirect-in-category"><a href="/wiki/Projection_(order_theory)" class="mw-redirect" title="Projection (order theory)">Projection (order theory)</a></span></li> <li><a href="/wiki/Pseudo-order" title="Pseudo-order">Pseudo-order</a></li> <li><a href="/wiki/Pseudoideal" title="Pseudoideal">Pseudoideal</a></li></ul></div><div class="mw-category-group"><h3>Q</h3> <ul><li><a href="/wiki/Quantale" title="Quantale">Quantale</a></li></ul></div><div class="mw-category-group"><h3>R</h3> <ul><li><a href="/wiki/Ranked_poset" title="Ranked poset">Ranked poset</a></li> <li><a href="/wiki/Residuated_mapping" title="Residuated mapping">Residuated mapping</a></li> <li><a href="/wiki/Rewrite_order" title="Rewrite order">Rewrite order</a></li></ul></div><div class="mw-category-group"><h3>S</h3> <ul><li><a href="/wiki/Scattered_order" title="Scattered order">Scattered order</a></li> <li><a href="/wiki/Schnyder%27s_theorem" title="Schnyder's theorem">Schnyder's theorem</a></li> <li><a href="/wiki/Schur%E2%80%93Horn_theorem" title="Schur–Horn theorem">Schur–Horn theorem</a></li> <li><a href="/wiki/Scott_continuity" title="Scott continuity">Scott continuity</a></li> <li><a href="/wiki/Scott_domain" title="Scott domain">Scott domain</a></li> <li><a href="/wiki/Semiorder" title="Semiorder">Semiorder</a></li> <li><a href="/wiki/Separation_relation" title="Separation relation">Separation relation</a></li> <li><a href="/wiki/Serial_relation" title="Serial relation">Serial relation</a></li> <li><a href="/wiki/Series-parallel_partial_order" title="Series-parallel partial order">Series-parallel partial order</a></li> <li><a href="/wiki/Shortlex_order" title="Shortlex order">Shortlex order</a></li> <li><a href="/wiki/Solid_set" title="Solid set">Solid set</a></li> <li><a href="/wiki/Specialization_(pre)order" title="Specialization (pre)order">Specialization (pre)order</a></li> <li><a href="/wiki/Sperner_property_of_a_partially_ordered_set" title="Sperner property of a partially ordered set">Sperner property of a partially ordered set</a></li> <li><a href="/wiki/Stone_duality" title="Stone duality">Stone duality</a></li> <li><a href="/wiki/Strong_antichain" title="Strong antichain">Strong antichain</a></li> <li><a href="/wiki/Supermodular_function" title="Supermodular function">Supermodular function</a></li> <li><a href="/wiki/Suslin%27s_problem" title="Suslin's problem">Suslin's problem</a></li> <li><a href="/wiki/Szpilrajn_extension_theorem" title="Szpilrajn extension theorem">Szpilrajn extension theorem</a></li></ul></div><div class="mw-category-group"><h3>T</h3> <ul><li><a href="/wiki/Teichm%C3%BCller%E2%80%93Tukey_lemma" title="Teichmüller–Tukey lemma">Teichmüller–Tukey lemma</a></li> <li><a href="/wiki/Topkis%27s_theorem" title="Topkis's theorem">Topkis's theorem</a></li> <li><a href="/wiki/Total_order" title="Total order">Total order</a></li></ul></div><div class="mw-category-group"><h3>U</h3> <ul><li><a href="/wiki/Ultrafilter" title="Ultrafilter">Ultrafilter</a></li> <li><a href="/wiki/Ultrafilter_on_a_set" title="Ultrafilter on a set">Ultrafilter on a set</a></li> <li><a href="/wiki/Upper_and_lower_bounds" title="Upper and lower bounds">Upper and lower bounds</a></li> <li><a href="/wiki/Upper_set" title="Upper set">Upper set</a></li> <li><a href="/wiki/Upper_topology" title="Upper topology">Upper topology</a></li></ul></div><div class="mw-category-group"><h3>W</h3> <ul><li><a href="/wiki/Weak_ordering" title="Weak ordering">Weak ordering</a></li> <li><a href="/wiki/Well-order" title="Well-order">Well-order</a></li> <li><a href="/wiki/Well-quasi-ordering" title="Well-quasi-ordering">Well-quasi-ordering</a></li></ul></div><div class="mw-category-group"><h3>Z</h3> <ul><li><a href="/wiki/Zorn%27s_lemma" title="Zorn's lemma">Zorn's lemma</a></li></ul></div></div></div> </div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Category:Order_theory&oldid=952551364">https://en.wikipedia.org/w/index.php?title=Category:Order_theory&oldid=952551364</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Fields_of_mathematics" title="Category:Fields of mathematics">Fields of mathematics</a></li><li><a href="/wiki/Category:Ordering" title="Category:Ordering">Ordering</a></li><li><a href="/wiki/Category:Comparison_(mathematical)" title="Category:Comparison (mathematical)">Comparison (mathematical)</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-ns-shown">Hidden categories: <ul><li><a href="/wiki/Category:Commons_category_link_is_on_Wikidata" title="Category:Commons category link is on Wikidata">Commons category link is on Wikidata</a></li><li><a href="/wiki/Category:Template_Category_TOC_via_Automatic_category_TOC_on_category_with_101%E2%80%93200_pages" title="Category:Template Category TOC via Automatic category TOC on category with 101–200 pages">Template Category TOC via Automatic category TOC on category with 101–200 pages</a></li><li><a href="/wiki/Category:Automatic_category_TOC_generates_standard_Category_TOC" title="Category:Automatic category TOC generates standard Category TOC">Automatic category TOC generates standard Category TOC</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 22 April 2020, at 20:55<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. By using this site, you agree to the <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use" class="extiw" title="foundation:Special:MyLanguage/Policy:Terms of Use">Terms of Use</a> and <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy" class="extiw" title="foundation:Special:MyLanguage/Policy:Privacy policy">Privacy Policy</a>. Wikipedia® is a registered trademark of the <a rel="nofollow" class="external text" href="https://wikimediafoundation.org/">Wikimedia Foundation, Inc.</a>, a non-profit organization.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-mobileview"><a href="//en.m.wikipedia.org/w/index.php?title=Category:Order_theory&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-694cf4987f-jrv9d","wgBackendResponseTime":260,"wgPageParseReport":{"limitreport":{"cputime":"0.111","walltime":"0.176","ppvisitednodes":{"value":450,"limit":1000000},"postexpandincludesize":{"value":26413,"limit":2097152},"templateargumentsize":{"value":3017,"limit":2097152},"expansiondepth":{"value":20,"limit":100},"expensivefunctioncount":{"value":1,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":5200,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 163.189 1 -total"," 40.26% 65.704 1 Template:CatAutoTOC"," 37.64% 61.422 2 Template:Category_other"," 37.04% 60.444 1 Template:Commons_cat"," 34.32% 56.007 1 Template:Automatic_category_TOC/core"," 33.67% 54.951 1 Template:Sister_project"," 32.13% 52.436 1 Template:Side_box"," 29.23% 47.695 1 Template:Category_TOC"," 22.74% 37.109 1 Template:TOC_top"," 22.60% 36.879 1 Template:Cat_main"]},"scribunto":{"limitreport-timeusage":{"value":"0.037","limit":"10.000"},"limitreport-memusage":{"value":1131127,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-5dc468848-s7h4l","timestamp":"20241125050340","ttl":2592000,"transientcontent":false}}});});</script> </body> </html>